100121011110020 has 24 divisors (see below), whose sum is σ = 210268563481368. Its totient is φ = 40045653939200.

The previous prime is 100121011110019. The next prime is 100121011110067. The reversal of 100121011110020 is 20011110121001.

It can be written as a sum of positive squares in 4 ways, for example, as 45769879438336 + 54351131671684 = 6765344^2 + 7372322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100121011109983 and 100121011110010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171608051 + ... + 172190490.

It is an arithmetic number, because the mean of its divisors is an integer number (8761190145057).

Almost surely, 2^{100121011110020} is an apocalyptic number.

100121011110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121011110020 is an abundant number, since it is smaller than the sum of its proper divisors (110147552371348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121011110020 is a wasteful number, since it uses less digits than its factorization.

100121011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343813111 (or 343813109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100121011110020 its reverse (20011110121001), we get a palindrome (120132121231021).

The spelling of 100121011110020 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, one hundred ten thousand, twenty".